Domain of influence theorem and uniqueness results in magneto-thermoelasticity

Article type: Research Article

Authors: Awad, Emad^a

Affiliations: [a] Department of Mathematics, Faculty of Education, Alexandria University, Souter St. El-Shatby, Alexandria, 21526, Egypt

Abstract: In this paper, some energy inequalities are developed for an unbounded perfect electrically conducting generalized thermoelastic region moving in a variable magnetic field. Sufficient restrictions on the magneto-thermoelastic moduli and solutions are given in order that the perturbations initially generated in a bounded domain of the body cannot invade the whole body. Some uniqueness results are readily proved provided that such restrictions are met.

Keywords: Domain of influence, magneto-elasticity, magneto-thermoelasticity, uniqueness, work and energy theorem

DOI: 10.3233/JAE-2011-1374

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 37, no. 1, pp. 1-18, 2011